Search a number
-
+
14076282114 = 2334143199743
BaseRepresentation
bin11010001110000001…
…10000010100000010
31100100000000012222000
431013000300110002
5212312012011424
610244435324430
71005552265236
oct150700602402
940300005860
1014076282114
115a73770104
12288a150716
131434369c1b
149776925c6
15575ba03c9
hex347030502

14076282114 has 128 divisors (see below), whose sum is σ = 32997888000. Its totient is φ = 4442739840.

The previous prime is 14076282113. The next prime is 14076282119. The reversal of 14076282114 is 41128267041.

It is a happy number.

14076282114 is a `hidden beast` number, since 1 + 4 + 0 + 7 + 628 + 21 + 1 + 4 = 666.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (14076282113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 18944827 + ... + 18945569.

It is an arithmetic number, because the mean of its divisors is an integer number (257796000).

Almost surely, 214076282114 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14076282114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16498944000).

14076282114 is an abundant number, since it is smaller than the sum of its proper divisors (18921605886).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

14076282114 is a wasteful number, since it uses less digits than its factorization.

14076282114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1037 (or 1031 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 14076282114 in words is "fourteen billion, seventy-six million, two hundred eighty-two thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 27 41 43 54 82 86 123 129 199 246 258 369 387 398 597 738 743 774 1107 1161 1194 1486 1763 1791 2214 2229 2322 3526 3582 4458 5289 5373 6687 8159 8557 10578 10746 13374 15867 16318 17114 20061 24477 25671 30463 31734 31949 40122 47601 48954 51342 60926 63898 73431 77013 91389 95202 95847 146862 147857 154026 182778 191694 220293 231039 274167 287541 295714 350837 440586 443571 462078 548334 575082 701674 822501 862623 887142 1052511 1309909 1330713 1645002 1725246 2105022 2619818 2661426 3157533 3929727 3992139 6062137 6315066 6357851 7859454 7984278 9472599 11789181 12124274 12715702 18186411 18945198 19073553 23578362 35367543 36372822 38147106 54559233 57220659 70735086 109118466 114441318 163677699 171661977 260671891 327355398 343323954 521343782 782015673 1564031346 2346047019 4692094038 7038141057 14076282114